Finite Group Databasebeta

← Group #72248317

Character table — Group #72248317

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444666688888888888888888888888888888888888888881212121212121616161616161616161616161616161616161616242424242424242424242424242424242424242448484848
order122222222234444444466666666688888888121212121212121222222222224444448888121212121212121224242424242424242424242424242424224444666666888812122424242424242424222222224444888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111111-1-1-1-11111-1-1-1-1
χ91111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ101111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ121111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-111
χ17111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-1111111111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111-11-1-1-111-1-111-1-111-1-1111-1-1-11-111-1-111-1-11-11-1
χ18111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-1111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11-11-1-1-1-111-1-11111-1-111-11-1-1-1111-1-1-1-111-11-11
χ19111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-11-1111-1-111-1-111-1-111-1-11-1111-111-1-111-1-1-11-11
χ20111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-11-11111-1-111-1-1-1-111-1-1-1111-1111-1-1-1-1111-11-1
χ21111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1111-11-1-1-111-1-111-1-1-1-111-1-1-1111-11-1-111-1-111-11-11
χ22111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-111-11-11-1-1-1-111-1-111-1-111-1-11-1111-1-1-11111-1-11-11-1
χ23111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11-1111-1-111-1-11111-1-111-11-1-1-11-1-111-1-1111-11-1
χ24111111-1-1-1-11-1-1-1-1111111111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11-11-11111-1-111-1-111-1-1111-1-1-11-1-1-11111-1-1-11-11
χ25111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-11-1111-1-1-111-1-1111-1-11
χ26111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-111-111-1-11111-1-111-1-1-1-1-1111-11-1-11111-1-1-111-1
χ27111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111111-1-1-11-1-1-111-1-111-111-1
χ28111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-111-1-1-1-111-1-11111-11-1-1-11-1-11111-1-11-1-11
χ29111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-1-111111-1-1-1-111-1-11111-11-1-1-1111-1-111-1-1-111-1
χ30111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-111-111-1-11111-1-1-1-111111-1-1-11-111-1-1-1-1111-1-11
χ31111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-11111-111-1-1-1-1-11111-1-111-1-1-1-1-1111-1111-1-111-1-11-1-11
χ32111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111111-1-11-1-111-1-1-1-11111-1-1-1-11-1111-111-1-1-1-111-111-1
χ3322222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-222220000000000002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i22-2-2-2-20000000000000000000000000000000000002i−2i2i−2i0000
χ3422222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-22222000000000000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i22-2-2-2-2000000000000000000000000000000000000−2i2i−2i2i0000
χ3522222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-20000000000002i−2i2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i-2-22222000000000000000000000000000000000000−2i2i−2i2i0000
χ3622222222222-2-2-2-2-2-2-2-222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000−2i2i−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i-2-222220000000000000000000000000000000000002i−2i2i−2i0000
χ372222222222-122222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ382222222222-122222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000222222-2-2-2-222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000-1-1-1-1-1-1-2-2-2-2-1-111111111000000000000000000000000
χ392222222222-122222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000-2-2-2-2-2-22222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111-2-2-2-21111111111000000000000000000000000
χ402222222222-122222222-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000111111222211-1-1-1-1-1-1-1-1000000000000000000000000
χ412222222222-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100002222-2-22222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000-1-1-1-11122-2-211-1-1-1-11111000000000000000000000000
χ422222222222-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100002222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000-1-1-1-111-2-222111111-1-1-1-1000000000000000000000000
χ432222222222-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000-2-2-2-222222222-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000001111-1-1-2-222-1-11111-1-1-1-1000000000000000000000000
χ442222222222-122222222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000-2-2-2-222-2-2-2-22222221111111111111111-1-1-1-1-1-1-1-10000001111-1-122-2-2-1-1-1-1-1-11111000000000000000000000000
χ45222222-2-2-2-222222-2-2-2-222222-2-2-2-200000000-22222-2-2-222220000000000002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i-2-2-2-2220000000000000000000000000000000000002i−2i−2i2i0000
χ46222222-2-2-2-222222-2-2-2-222222-2-2-2-200000000-22222-2-2-22222000000000000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i-2-2-2-222000000000000000000000000000000000000−2i2i2i−2i0000
χ47222222-2-2-2-222222-2-2-2-222222-2-2-2-200000000-22222-2-2-2-2-2-2-20000000000002i−2i−2i2i00000000000000002i2i−2i−2i−2i−2i2i2i2222-2-2000000000000000000000000000000000000−2i2i2i−2i0000
χ48222222-2-2-2-222222-2-2-2-222222-2-2-2-200000000-22222-2-2-2-2-2-2-2000000000000−2i2i2i−2i0000000000000000−2i−2i2i2i2i2i−2i−2i2222-2-20000000000000000000000000000000000002i−2i−2i2i0000
χ49222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111112222-2-2-2-2-11111-1-1-1000022-2-22222-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-11111000000-1-111-1-12-22-211-1-111-1-111000000000000000000000000
χ50222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111112222-2-2-2-2-11111-1-1-1000022-2-222-2-222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-1000000-1-111-1-1-22-221111-1-111-1-1000000000000000000000000
χ51222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111112222-2-2-2-2-11111-1-1-10000-2-222-2-222-2-22222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000011-1-111-22-22-1-111-1-111-1-1000000000000000000000000
χ52222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-111112222-2-2-2-2-11111-1-1-10000-2-222-2-2-2-22222-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000011-1-1112-22-2-1-1-1-111-1-111000000000000000000000000
χ53222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-11111-2-2-2-22222-11111-1-1-1000022-2-2-2-222-2-222-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-1000000-1-111112-2-22-1-1-1-11111-1-1000000000000000000000000
χ54222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-11111-2-2-2-22222-11111-1-1-1000022-2-2-2-2-2-2222222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-11111000000-1-11111-222-2-1-111-1-1-1-111000000000000000000000000
χ55222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-11111-2-2-2-22222-11111-1-1-10000-2-2222222-2-2-2-2-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000011-1-1-1-1-222-21111-1-1-1-111000000000000000000000000
χ56222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-11111-2-2-2-22222-11111-1-1-10000-2-22222-2-222-2-222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000011-1-1-1-12-2-2211-1-11111-1-1000000000000000000000000
χ572222-2-222-2-2222-2-22-2-22222-2-222-2-222-2-222-2-2-222-2-222-222-2-200000000000000000000000022-2-222-2-2000000002-22-22-2000000000000000000000000000000002-22-200000000
χ582222-2-222-2-2222-2-22-2-22222-2-222-2-222-2-222-2-2-222-2-222-2-2-22200000000000000000000000022-2-222-2-200000000-22-22-2200000000000000000000000000000000-22-2200000000
χ592222-2-222-2-2222-2-22-2-22222-2-222-2-2-2-222-2-222-222-2-222-222-2-2000000000000000000000000-2-222-2-222000000002-22-22-200000000000000000000000000000000-22-2200000000
χ602222-2-222-2-2222-2-22-2-22222-2-222-2-2-2-222-2-222-222-2-222-2-2-222000000000000000000000000-2-222-2-22200000000-22-22-22000000000000000000000000000000002-22-200000000
χ612222-2-222-2-22-2-222-222-2222-2-222-2-2000000002-2-222-2-2222-2-20000002-22-200000022-2-222-2-200000000000000002-2-22-22000000000000000000000000002200-2-2000000000000
χ622222-2-222-2-22-2-222-222-2222-2-222-2-2000000002-2-222-2-2222-2-2000000-22-22000000-2-222-2-22200000000000000002-2-22-2200000000000000000000000000-2-20022000000000000
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Here i is the imaginary unit (i² = −1).